On commuting differential operators
The theory of commuting linear differential expressions has received a lot of attention since Lax presented his description of the KdV hierarchy by Lax pairs $(P,L)$. Gesztesy and the present author have established a relationship of this circle of ideas with the property that all solutions of the d...
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| Format: | Article |
| Language: | English |
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Texas State University
2000-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2000/19/abstr.html |
| Summary: | The theory of commuting linear differential expressions has received a lot of attention since Lax presented his description of the KdV hierarchy by Lax pairs $(P,L)$. Gesztesy and the present author have established a relationship of this circle of ideas with the property that all solutions of the differential equations $Ly=zy$, $zin {Bbb C}$, are meromorphic. In this paper this relationship is explored further by establishing its existence for Gelfand-Dikii systems with rational and simply periodic coefficients. |
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| ISSN: | 1072-6691 |